# How do you evaluate cos W = 0.6157?

Jul 19, 2016

<W = 52° or 308°.

#### Explanation:

You are trying to find an angle which has a cos value of 0.6157.
This process is known as arc-cos and is shown on most calculators as ${\cos}^{-} 1$

With angles from 0° to 360° there will be two angles which have a cos value of 0.6157.

The acute angle is 52°.
The other angle is 360°-52° = 308°